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Finding the Third Proportional to 89,017,835 and 189,793,710

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Solution

The third proportional to 89,017,835 and 189,793,710 is: 404,656,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,017,835 : 189,793,710 = 189,793,710 : x
  2. Step 2: Convert to fraction form
    89,017,835/189,793,710 = 189,793,710/x
  3. Step 3: Cross multiply
    89,017,835x = 189,793,710 × 189,793,710
  4. Step 4: Simplify right side
    89,017,835x = 36,021,652,355,564,100
  5. Step 5: Solve for x
    x = 36,021,652,355,564,100/89,017,835
  6. Step 6: Final answer
    x = 404,656,576.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.